Question

Which compound inequality is equivalent to the absolute value inequality B?

a. 0-6;b and b; 6
b. b;-6 or b ; 6
c. 0-6; b and b; 6
d. b;-6 or b; 6

Answer 1

The compound inequality equivalent to the absolute value inequality B is B < -6 or B > 6.

Step-by-step explanation:

The compound inequality equivalent to the absolute value inequality B is:

B < -6 or B > 6

To understand why this is the case, consider the definition of absolute value. The absolute value of a number is its distance from zero on the number line. So, for the expression |B| > 6, we can rewrite it as B < -6 or B > 6. If B is less than -6, its distance from zero will be greater than 6, and if B is greater than 6, its distance from zero will also be greater than 6.